FACTORIZATIONA deep factorization of the orthogonal projection matrix onto a subspace is obtained. The LQ decomposition is used. For construction of an orthogonal matrix Q the method of successive rank reduction is applied.doi:10.1007/s10958-023-06515-wV. N. Malozemov...
正交投影矩阵(orthogonal projection matrix) 矩阵的列空间 对于矩阵A∈Cm×nA∈Cm×n,其nn个列向量记作: a1=[a11,a21,⋯,am1]T,a2=[a12,a22,⋯,am2]T,⋯,an=[a1n,a2n,⋯,amn]T∈Cm×1a1=[a11,a21,⋯,am1]T,a2=[a12,a22,⋯,am2]T,⋯,an=[a1n,a2n,⋯,amn]T∈Cm×1 则...
因此, (i) p=Q \bar{x}=Q Q^T b 是 b 在Q 列空间上的正交投影(orthogonal projection),而 P=Q Q^T 是投影矩阵(projection matrix) (ii) p=p_1+\cdots+p_n 其中 p_j=\left(q_j^T b\right) q_j 是 b 在 Q 列 q_j 所生成(spanned)的线上的投影 正交列很好 假设 Q 具有正交列...
正交投影矩阵（orthogonalprojectionmatrix）正交投影矩阵（orthogonalprojectionmatrix）矩阵的列空间 对于矩阵A∈C m×n，其n个列向量记作：a1=[a11,a21,⋯,a m1]T,a2=[a12,a22,⋯,a m2]T,⋯,a n=[a1n,a2n,⋯,a mn]T∈C m×1 则其列向量的所有线性组合的集合构成⼀个⼦空间，称为矩阵A...
An algorithm of orthogonal projection matrix; 正交投影矩阵的一个求法3) uncanonical projection matrix 非正交投影阵 1. An essential distinction between Canonical projection matrix and uncanonical projection matrix; 正交投影阵与非正交投影阵的一个本质区别 更多例句>> 4...
builds a customized , left - handed orthogonal projection matrix. 生成一个自定义的左手坐标系的正交投影矩阵。 www.ichacha.net 3. By Using Generalized Orthogonal Projection Matrix to Solve Linear Programming 用广义正交投影矩阵求解线性规划 www.ilib.cn 4. An algorithm of orthogonal projection matrix 正...
Let Ω⊆[m]×[n] be set of indices of the obseved entries, and an orthogonal projection onto the linear subsets of Ω : PΩ(X)={Xi,j,(i,j)∈Ω,0,(i,j)∉Ω . Besides, Singular value decomposition(SVD) is highly used in this area. We assume X can be expressed by X=UV...
Anorthogonal matrixis an invertible matrix for which the inverse is equal to the transpose. For example, one can use QR decomposition to find theorthogonal matrixB, or use the orthogonal projection matrix of A as B. The technology of extracting pectin from fresh watermelon peel by the salting...
orthogonal matrix (redirected fromOrthonormal matrix) Encyclopedia Related to Orthonormal matrix:Orthonormal vectors n (Mathematics)mathsa matrix that is the inverse of its transpose so that any two rows or any two columns are orthogonal vectors. Comparesymmetric matrix ...
Builds an orthogonal projection matrix for a left-handed coordinate system. Parameters [in] ViewWidth Width of the frustum at the near clipping plane. [in] ViewHeight Height of the frustum at the near clipping plane. [in] NearZ Distance to the near clipping plane. ...